Question 1209579: In the diagram, $ABCD$ is a square. Find $PR.$
[asy]
unitsize(1.5 cm);
pair A, B, C, D, P, R;
A = (-1,1);
B = (1,1);
C = (1,-1);
D = (-1,-1);
P = (0,1) + dir(50);
R = -P;
draw(A--B--C--D--cycle);
draw(A--P--B);
draw(C--R--D);
label("$A$", A, W);
label("$B$", B, dir(0));
label("$C$", C, dir(0));
label("$D$", D, W);
label("$P$", P, N);
label("$R$", R, S);
label("$4$", (B + P)/2, NE, red);
label("$8$", (A + P)/2, NW, red);
label("$4 \sqrt{5}$", (A + B)/2, S, red);
label("$4$", (D + R)/2, SW, red);
label("$8$", (C + R)/2, SE, red);
label("$4 \sqrt{5}$", (C + D)/2, N, red);
[/asy]
AB=BC=CD=DA=4sqrt5
PA=CR=8
PB=RD=4
Answer by ikleyn(52778)   (Show Source):
You can put this solution on YOUR website! .
Hello, I am writing to let you know (in case if you don't know it):
this site/forum is for Math problems.
It is expected that the visitors bring formulations of Math problems in traditional wording form.
If necessary, the wording description can be accompanied by a diagram or a link to a diagram.
But posting computer programs in the language of graphing tools is not what we expect from visitors.
Do you get the meaning of my message?
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